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arXiv · 1902.09298

Extremities for statistical submanifolds in Kenmotsu statistical manifolds

Aliya Naaz Siddiqui·Young Jin Suh·Oğuzhan Bahadır
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Abstract

Kenmotsu geometry is a valuable part of contact geometry with nice applications in other fields such as theoretical physics. In this article, we study the statistical counterpart of a Kenmotsu manifold, that is, Kenmotsu statistical manifold with some related examples. We investigate some statistical curvature properties of Kenmotsu statistical manifolds. We prove that a Kenmotsu statistical manifold is not a Ricci-flat statistical manifold with an example. Finally, we prove a very well-known Chen-Ricci inequality for statistical submanifolds in Kenmotsu statistical manifolds of constant $\phi-$sectional curvature by adopting optimization techniques on submanifolds. This article ends with some concluding remarks.

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Aliya Naaz Siddiqui, Young Jin Suh, Oğuzhan Bahadır. 2019-02-07. Extremities for statistical submanifolds in Kenmotsu statistical manifolds. https://arxiv.org/abs/1902.09298

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